42856656128000
42,856,656,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42856656128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
42856656128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42856656128000:
211 × 53 × 11 × 13 × 67 × 101 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 67 × 101 × 173)See below for interesting mathematical facts about the number 42856656128000 from the Numbermatics database.
Names of 42856656128000
- Cardinal: 42856656128000 can be written as Forty-two trillion, eight hundred fifty-six billion, six hundred fifty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2856656128 × 1013
Factors of 42856656128000
Divisors of 42856656128000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 67 80 88 100 101 104 110 125 128 130 134 143 160 173 176 200 202 208 220 250 256 260 268 275 286 320 325 335 346 352 400 404 416 440 500 505 512 520 536 550 572 640 650 670 692 704 715 737 800 808 832 865 871 880 1000 1010 1024 1040 1072 1100 1111 1144 1280 1300 1313 1340 1375 1384 1408 1430 1474 1600 1616 1625 1664 1675 1730 1742 1760 1903 2000 2020 2048 2080 2144 2200 2222 2249 2288 2525 2560 2600 2626 2680 2750 2768 2816 2860 2948 3200 3232 3250 3328 3350 3460 3484 3520 3575 3685 3806 4000 4040 4160 4288 4325 4355 4400 4444 4498 4576 5050 5120 5200 5252 5360 5500 5536 5555 5632 5720 5896 6400 6464 6500 6565 6656 6700 6767 6920 6968 7040 7150 7370 7612 8000 8080 8320 8375 8576 8650 8710 8800 8888 8996 9152 9515 9581 10100 10240 10400 10504 10720 11000 11072 11110 11245 11264 11440 11591 11792 12625 12800 12928 13000 13130 13312 13400 13534 13840 13936 14080 14300 14443 14740 15224 16000 16160 16640 16750 17152 17300 17420 17473 17600 17776 17875 17992 18304 18425 19030 19162 20200 20800 21008 21440 21625 21775 22000 22144 22220 22490 22528 22880 23182 23584 24739 25250 25600 25856 26000 26260 26624 26800 27068 27680 27775 27872 28160 28600 28886 29480 30448 32000 32320 32825 33280 33500 33835 34304 34600 34840 34946 35200 35552 35750 35984 36608 36850 38060 38324 40400 41600 42016 42880 43250 43550 44000 44288 44440 44980 45760 46364 47168 47575 47905 49478 50500 51200 51712 52000 52520 53600 54136 55360 55550 55744 56225 56320 57200 57772 57955 58960 60896 64000 64640 65650 66560 67000 67670 68608 69200 69680 69892 70400 71104 71500 71968 72215 73216 73700 74437 76120 76648 80800 83200 84032 85760 86500 87100 87365 87971 88000 88576 88880 89960 91520 92125 92728 94336 95150 95810 98956 101000 103424 104000 105040 107200 108272 108875 110720 111100 111488 112450 112640 114400 115544 115910 117920 121792 123695 127501 128000 129280 131300 133120 134000 135340 137216 138400 138875 139360 139784 140800 142208 143000 143936 144430 146432 147400 148874 150683 152240 153296 161600 164125 166400 168064 169175 171520 173000 174200 174730 175942 176000 177152 177760 179920 183040 184250 185456 188672 190300 191620 192203 197912 202000 206848 208000 210080 214400 216544 217750 221440 222200 222976 224900 227149 228800 231088 231820 235840 237875 239525 243584 247390 255002 256000 258560 262600 268000 270680 276800 277750 278720 279568 281125 281600 284416 286000 287872 288860 289775 292864 294800 297748 301366 304480 306592 323200 328250 332800 336128 338350 343040 346000 348400 349460 351884 352000 354304 355520 359840 361075 366080 368500 370912 372185 377344 380600 383240 384406 395824 404000 416000 420160 428800 433088 435500 436825 439855 442880 444400 445952 449800 454298 457600 462176 463640 471680 475750 479050 487168 494780 510004 517120 525200 536000 541360 553600 555500 557440 559136 562250 563200 568832 572000 575744 577720 579550 589600 595496 602732 608960 613184 618475 637505 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6989200 7037680 7110400 7196800 7221500 7268768 7321600 7394816 7418240 7443700 7534150 7546880 7612000 7664800 7688120 7741448 7916480 8160064 8287565 8403200 8576000 8661760 8736500 8797100 8857600 8888000 8919040 8946176 8996000 9085960 9152000 9243520 9272800 9304625 9365528 9433600 9527936 9581000 9610150 9643712 9676810 9743360 9810944 9895600 9994556 10200080 10504000 10827200 10996375 11072000 11148800 11182720 11260288 11357450 11376640 11514880 11554400 11591000 11706910 11792000 11869184 11909920 12054640 12179200 12263680 12300992 12369500 12493195 12666368 12750100 12877601 12928000 13260104 13445120 13534000 13858816 13936000 13978400 14075360 14220800 14393600 14443000 14537536 14789632 14836480 14887400 15068300 15218983 15224000 15329600 15376240 15482896 15832960 15937625 16320128 16575130 16806400 17152000 17323520 17473000 17594200 17776000 17892352 17992000 18171920 18304000 18487040 18545600 18609250 18731056 18835375 18867200 19055872 19162000 19220300 19287424 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56883200 57574400 57772000 58150144 58534550 59345920 59549600 60273200 60875932 60896000 61318400 61504960 61931584 62465975 63331840 63750500 64388005 65280512 66300520 67225600 69294080 69892000 70376800 71104000 71968000 72687680 73948160 74182400 74437000 74924224 75341500 76094915 76223488 76648000 76881200 77149696 77414480 79164800 79956448 81600640 82875650 84032000 86617600 87971000 89461760 90082304 90859600 92435200 92728000 93655280 94336000 95279360 96101500 96437120 96768100 97433600 98109440 98407936 98956000 99945560 102000800 103020808 106080832 108272000 111488000 111827200 112602880 113574500 115148800 115544000 116300288 117069100 118691840 119099200 120546400 120960125 121751864 121792000 122636800 123009920 123863168 124931950 126663680 127501000 128776010 130561024 132601040 139784000 140753600 142208000 143936000 145375360 146336375 147896320 148364800 148874000 149848448 150683000 152189830 152446976 153296000 153762400 154299392 154828960 158329600 159912896 163201280 165751300 167408813 168064000 173235200 175942000 178923520 180164608 181719200 184870400 185456000 187310560 188672000 190558720 192203000 192874240 193536200 196815872 197912000 199891120 204001600 206041616 207189125 212161664 216544000 222976000 223654400 225205760 227149000 231088000 232600576 234138200 238198400 241092800 241920250 243503728 243584000 245273600 246019840 247726336 249863900 253327360 255002000 257552020 261122048 265202080 279568000 281507200 284416000 287872000 290750720 292672750 296729600 297748000 299696896 301366000 304379660 306592000 307524800 308598784 309657920 312329875 316659200 319825792 321940025 326402560 331502600 334817626 336128000 346470400 351884000 363438400 369740800 370912000 374621120 380474575 381117440 384406000 385748480 387072400 393631744 395824000 399782240 408003200 412083232 414378250 424323328 433088000 447308800 450411520 454298000 462176000 465201152 468276400 476396800 482185600 483840500 487007456 487168000 490547200 492039680 495452672 499727800 510004000 515104040 530404160 559136000 563014400 575744000 581501440 585345500 593459200 595496000 599393792 602732000 608759320 613184000 615049600 619315840 624659750 633318400 639651584 643880050 652805120 663005200 669635252 703768000 726876800 739481600 741824000 749242240 760949150 762234880 768812000 771496960 774144800 791648000 799564480 816006400 824166464 828756500 837044065 848646656 866176000 894617600 900823040 908596000 924352000 936552800 952793600 964371200 967681000 974014912 984079360 990905344 999455600 1020008000 1030208080 1060808320 1118272000 1126028800 1163002880 1170691000 1190992000 1198787584 1205464000 1217518640 1226368000 1230099200 1238631680 1249319500 1266636800 1279303168 1287760100 1305610240 1326010400 1339270504 1407536000 1453753600 1483648000 1498484480 1521898300 1537624000 1542993920 1548289600 1583296000 1599128960 1609700125 1632012800 1648332928 1657513000 1674088130 1697293312 1732352000 1817192000 1848704000 1873105600 1902372875 1905587200 1928742400 1935362000 1948029824 1968158720 1981810688 1998911200 2040016000 2060416160 2121616640 2236544000 2252057600 2326005760 2341382000 2381984000 2397575168 2410928000 2435037280 2452736000 2460198400 2477263360 2498639000 2558606336 2575520200 2652020800 2678541008 2815072000 2907507200 2967296000 2996968960 3043796600 3075248000 3096579200 3166592000 3198257920 3219400250 3264025600 3296665856 3315026000 3348176260 3394586624 3634384000 3697408000 3746211200 3804745750 3811174400 3857484800 3870724000 3896059648 3997822400 4080032000 4120832320 4185220325 4243233280 4473088000 4504115200 4682764000 4763968000 4821856000 4870074560 4920396800 4954526720 4997278000 5117212672 5151040400 5304041600 5357082016 5630144000 5815014400 5993937920 6087593200 6150496000 6193158400 6333184000 6396515840 6438800500 6528051200 6593331712 6630052000 6696352520 7268768000 7492422400 7609491500 7714969600 7741448000 7792119296 7995644800 8160064000 8241664640 8370440650 8486466560 9365528000 9527936000 9643712000 9740149120 9840793600 9909053440 9994556000 10302080800 10608083200 10714164032 11260288000 11630028800 11987875840 12175186400 12300992000 12386316800 12793031680 12877601000 13186663424 13260104000 13392705040 14537536000 14984844800 15218983000 15482896000 15584238592 15991289600 16320128000 16483329280 16740881300 16972933120 18731056000 19055872000 19287424000 19480298240 19989112000 20604161600 20926101625 21216166400 21428328064 22520576000 24350372800 24601984000 24772633600 25586063360 25755202000 26373326848 26520208000 26785410080 29075072000 29969689600 30437966000 30965792000 31168477184 31982579200 32640256000 32966658560 33481762600 37462112000 38574848000 38960596480 39978224000 41208323200 41852203250 42432332800 42856656128 48700745600 49203968000 49545267200 51510404000 53040416000 53570820160 58150144000 59939379200 60875932000 61931584000 63965158400 65933317120 66963525200 74924224000 77921192960 79956448000 82416646400 83704406500 84864665600 85713312256 97401491200 103020808000 106080832000 107141640320 121751864000 123863168000 127930316800 131866634240 133927050400 149848448000 155842385920 159912896000 164833292800 167408813000 171426624512 194802982400 206041616000 212161664000 214283280640 243503728000 247726336000 267854100800 299696896000 319825792000 329666585600 334817626000 342853249024 389605964800 412083232000 424323328000 428566561280 487007456000 535708201600 639651584000 659333171200 669635252000 779211929600 824166464000 857133122560 974014912000 1071416403200 1339270504000 1648332928000 1714266245120 1948029824000 2142832806400 2678541008000 3296665856000 3896059648000 4285665612800 5357082016000 8571331225600 10714164032000 21428328064000 42856656128000
- Sum of all divisors σ(n): 129522768560640
- Sum of proper divisors (its aliquot sum) s(n): 86666112432640
- 42856656128000 is an abundant number, because the sum of its proper divisors (86666112432640) is greater than itself. Its abundance is 43809456304640
Bases of 42856656128000
- Binary: 10011011111010010101111100001111001000000000002
- Hexadecimal: 0x26FA57C3C800
- Base-36: F6W2QJ668
Squares and roots of 42856656128000
- 42856656128000 squared (428566561280002) is 1836692974473639952384000000
- 42856656128000 cubed (428566561280003) is 78714519219730269239803381809152000000000
-
The
square root of 42856656128000 is 6546499.5324218881 -
The
cube root of 42856656128000 is 34995.0077581671
Scales and comparisons
How big is 42856656128000?- 42,856,656,128,000 seconds is equal to 1,362,709 years, 5 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,856,656,128,000 would take you about three million, four hundred six thousand, seven hundred seventy-two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42856656128000 cubic inches would be around 2916.3 feet tall.
Recreational maths with 42856656128000
- 42856656128000 backwards is 00082165665824
- The number of decimal digits it has is: 14
- The sum of 42856656128000's digits is 53
- More coming soon!
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The information we have on file for 42856656128000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42856656128000, math, Factors of 42856656128000, curriculum, school, college, exams, university, Prime factorization of 42856656128000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, eight hundred fifty-six billion, six hundred fifty-six million, one hundred twenty-eight thousand.